{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear Edge Element for Maxwell Equations in 3D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example is to show the linear edge element approximation of the electric field of the time harmonic Maxwell equation.\n",
    "  \n",
    "\\begin{align}\n",
    "\\nabla \\times (\\mu^{-1}\\nabla \\times  u) - \\omega^2 \\varepsilon \\, u &= J  \\quad  \\text{ in } \\quad \\Omega,  \\\\\n",
    "                                  n \\times u &= n \\times g_D  \\quad  \\text{ on } \\quad \\Gamma_D,\\\\\n",
    "                    n \\times (\\mu^{-1}\\nabla \\times  u) &= n \\times g_N  \\quad  \\text{ on } \\quad \\Gamma_N.\n",
    "\\end{align}\n",
    "\n",
    "\n",
    "based on the weak formulation\n",
    "\n",
    "$$(\\mu^{-1}\\nabla \\times  u, \\nabla \\times  v) - (\\omega^2\\varepsilon u,v) = (J,v) - \\langle n \\times g_N,v \\rangle_{\\Gamma_N}.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Reference**\n",
    "- [Finite Element Methods for Maxwell Equations](http://www.math.uci.edu/~chenlong/226/FEMMaxwell.pdf)\n",
    "- [Programming of Finite Element Methods for Maxwell Equations](http://www.math.uci.edu/~chenlong/226/codeMaxwell.pdf)\n",
    "\n",
    "**Subroutines**:\n",
    "\n",
    "    - Maxwell1\n",
    "    - cubeMaxwell1\n",
    "    - femMaxwell3\n",
    "    - Maxwell1femrate\n",
    "    \n",
    "The method is implemented in `Maxwell1` subroutine and tested in `cubeMaxwell1`. Together with other elements (ND0,ND1,ND2), `femMaxwell3` provides a concise interface to solve Maxwell equation. The ND1 element is tested in `Maxwell1femrate`. This doc is based on `Maxwell1femrate`.    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Structure\n",
    "\n",
    "Use the function\n",
    "\n",
    "    [elem2dof,edge,elem2edgeSign] = dof3edge(elem);\n",
    "\n",
    "to construct the pointer from element index to edge index. Read\n",
    "<dof3edgedoc.html Dof on Edges in Three Dimensions> for details.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "node = [1,0,0; 0,1,0; 0,0,0; 0,0,1];\n",
    "elem = [1 2 3 4];\n",
    "localEdge = [1 2; 1 3; 1 4; 2 3; 2 4; 3 4];\n",
    "imatlab_export_fig('print-png')  % Static png figures.\n",
    "set(gcf,'Units','normal'); \n",
    "set(gcf,'Position',[0.25,0.25,0.25,0.25]);\n",
    "showmesh3(node,elem);\n",
    "view(-72,9);\n",
    "findnode3(node);\n",
    "findedge(node,localEdge,'all','vec');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The six dofs associated to edges in a tetrahedron is sorted in the ordering `[1 2; 1 3; 1 4; 2 3; 2 4; 3 4]`. Here `[1 2 3 4]` are local indices of vertices.\n",
    "\n",
    "Globally we use ascend ordering for each element and thus the orientation of the edge is consistent. No need of `elem2edgeSign`. Read [Simplicial complex in three dimensions](../mesh/sc3doc.html) for more discussion of indexing, ordering and orientation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Local Bases\n",
    "Suppose `[i,j]` is the kth edge and `i<j`. The basis is given by \n",
    "\n",
    "$$ \\phi _k = \\lambda_i\\nabla \\lambda_j - \\lambda_j \\nabla \\lambda_i,\\qquad\n",
    "   \\nabla \\times \\phi_k = 2\\nabla \\lambda_i \\times \\nabla \\lambda_j.$$\n",
    "\n",
    "Inside one tetrahedron, the 6 bases functions along with their curl\n",
    "corresponding to 6 local edges `[1 2; 1 3; 1 4; 2 3; 2 4; 3 4]` are\n",
    "\n",
    "$$ \\phi_1 = \\lambda_1\\nabla\\lambda_2 - \\lambda_2\\nabla\\lambda_1,\\qquad\n",
    "   \\nabla \\times \\phi_1 = 2\\nabla\\lambda_1\\times \\nabla\\lambda_2,$$\n",
    "\n",
    "$$ \\phi_2 = \\lambda_1\\nabla\\lambda_3 - \\lambda_3\\nabla\\lambda_1,\\qquad\n",
    "   \\nabla \\times \\phi_2 = 2\\nabla\\lambda_1\\times \\nabla\\lambda_3,$$\n",
    "\n",
    "$$ \\phi_3 = \\lambda_1\\nabla\\lambda_4 - \\lambda_4\\nabla\\lambda_1,\\qquad\n",
    "   \\nabla \\times \\phi_3 = 2\\nabla\\lambda_1\\times \\nabla\\lambda_4,$$\n",
    "\n",
    "$$ \\phi_4 = \\lambda_2\\nabla\\lambda_3 - \\lambda_3\\nabla\\lambda_2,\\qquad\n",
    "   \\nabla \\times \\phi_4 = 2\\nabla\\lambda_2\\times \\nabla\\lambda_3,$$\n",
    "\n",
    "$$ \\phi_5 = \\lambda_2\\nabla\\lambda_4 - \\lambda_4\\nabla\\lambda_2,\\qquad\n",
    "   \\nabla \\times \\phi_5 = 2\\nabla\\lambda_2\\times \\nabla\\lambda_4,$$\n",
    "\n",
    "$$ \\phi_6 = \\lambda_3\\nabla\\lambda_4 - \\lambda_4\\nabla\\lambda_3,\\qquad\n",
    "   \\nabla \\times \\phi_6 = 2\\nabla\\lambda_3\\times \\nabla\\lambda_4.$$\n",
    "\n",
    "\n",
    "The additional 6 bases for the second family are:\n",
    "\n",
    "$$ \\psi_k = \\lambda_i\\nabla \\lambda_j + \\lambda_j \\nabla \\lambda_i,\\qquad\n",
    "   \\nabla \\times \\psi_k = 0.$$\n",
    "\n",
    "$$ \\psi_1 = \\lambda_1\\nabla\\lambda_2 + \\lambda_2\\nabla\\lambda_1,$$\n",
    "\n",
    "$$ \\psi_2 = \\lambda_1\\nabla\\lambda_3 + \\lambda_3\\nabla\\lambda_1,$$\n",
    "\n",
    "$$ \\psi_3 = \\lambda_1\\nabla\\lambda_4 + \\lambda_4\\nabla\\lambda_1,$$\n",
    "\n",
    "$$ \\psi_4 = \\lambda_2\\nabla\\lambda_3 + \\lambda_3\\nabla\\lambda_2,$$\n",
    "\n",
    "$$ \\psi_5 = \\lambda_2\\nabla\\lambda_4 + \\lambda_4\\nabla\\lambda_2,$$\n",
    "\n",
    "$$ \\psi_6 = \\lambda_3\\nabla\\lambda_4 + \\lambda_4\\nabla\\lambda_3.$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Degree of freedoms\n",
    "\n",
    "Suppose `[i,j]` is the kth edge and `i<j`. The corresponding degree of freedom is\n",
    "\n",
    "$$l_k (v) = \\int_{e_k} v\\cdot t \\, {\\rm d}s \\approx \\frac{1}{2}[v(i)+v(j)]\\cdot e_{k}.$$\n",
    "\n",
    "It is dual to the basis $\\{\\phi_k\\}$ in the sense that\n",
    "\n",
    "$$l_{\\ell}(\\phi _k) = \\delta_{k,\\ell}.$$\n",
    "\n",
    "The additional 6 degree of freedoms are:\n",
    "\n",
    "$$l_k^1 (v) = 3\\int_{e_k} v\\cdot t(\\lambda _i - \\lambda_j) \\, {\\rm d}s  \\approx \\frac{1}{2}[v(i) - v(j)]\\cdot e_{k}.$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dirichlet boundary condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dirichlet boundary conditions. \n",
      "#dof:     1208, Direct solver  0.1 \n",
      "#dof:     8368, Direct solver 0.23 \n",
      "Conjugate Gradient Method using HX preconditioner \n",
      "#dof:    62048,   #nnz:  1372268,   iter: 37,   err = 6.5415e-09,   time =  1.6 s\n",
      "Conjugate Gradient Method using HX preconditioner \n",
      "#dof:   477376,   #nnz: 11791756,   iter: 36,   err = 9.7991e-09,   time =   11 s\n",
      "Table: Error\n",
      " #Dof        h        ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      "  1208   2.500e-01   5.52165e-02   3.96067e-01   7.95505e-02   3.10119e-03\n",
      "  8368   1.250e-01   1.36258e-02   1.97200e-01   4.02371e-02   4.33068e-04\n",
      " 62048   6.250e-02   3.39303e-03   9.84696e-02   2.02922e-02   5.78792e-05\n",
      "477376   3.125e-02   8.47174e-04   4.92119e-02   1.01987e-02   7.53487e-06\n",
      "\n",
      "Table: CPU time\n",
      " #Dof    Assemble     Solve      Error      Mesh    \n",
      "\n",
      "  1208   9.00e-02   1.00e-01   4.00e-02   1.00e-02\n",
      "  8368   1.20e-01   2.30e-01   7.00e-02   1.00e-02\n",
      " 62048   7.90e-01   1.56e+00   2.20e-01   5.00e-02\n",
      "477376   6.15e+00   1.07e+01   1.71e+00   0.00e+00\n",
      "\n"
     ]
    },
    {
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%% Setting\n",
    "[node,elem] = cubemesh([-1,1,-1,1,-1,1],1);\n",
    "mesh = struct('node',node,'elem',elem);\n",
    "option.L0 = 1;\n",
    "option.maxIt = 4;\n",
    "option.elemType = 'ND1';\n",
    "option.printlevel = 1;\n",
    "\n",
    "%% Dirichlet boundary condition.\n",
    "fprintf('Dirichlet boundary conditions. \\n');    \n",
    "pde = Maxwelldata2;\n",
    "bdFlag = setboundary3(node,elem,'Dirichlet');\n",
    "femMaxwell3(mesh,pde,option);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pure Neumann boundary condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Neumann boundary condition. \n",
      "#dof:     1208, Direct solver 0.06 \n",
      "#dof:     8368, Direct solver 0.35 \n",
      "Conjugate Gradient Method using HX preconditioner \n",
      "#dof:    62048,   #nnz:  1628576,   iter: 43,   err = 8.7403e-09,   time =    2 s\n",
      "Conjugate Gradient Method using HX preconditioner \n",
      "#dof:   477376,   #nnz: 12838720,   iter: 43,   err = 9.4520e-09,   time =   13 s\n",
      "Table: Error\n",
      " #Dof        h        ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      "  1208   2.500e-01   2.41877e-02   3.90295e-01   9.93550e-02   1.88901e-02\n",
      "  8368   1.250e-01   6.28974e-03   1.96199e-01   4.40961e-02   2.94393e-03\n",
      " 62048   6.250e-02   1.59327e-03   9.82971e-02   2.10068e-02   4.34979e-04\n",
      "477376   3.125e-02   4.00195e-04   4.91812e-02   1.03323e-02   6.24133e-05\n",
      "\n",
      "Table: CPU time\n",
      " #Dof    Assemble     Solve      Error      Mesh    \n",
      "\n",
      "  1208   6.00e-02   6.00e-02   1.00e-02   0.00e+00\n",
      "  8368   1.80e-01   3.50e-01   4.00e-02   1.00e-02\n",
      " 62048   7.00e-01   1.95e+00   2.20e-01   4.00e-02\n",
      "477376   5.47e+00   1.35e+01   1.69e+00   0.00e+00\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%% Pure Neumann boundary condition.\n",
    "fprintf('Neumann boundary condition. \\n');\n",
    "option.plotflag = 0;\n",
    "pde = Maxwelldata2;\n",
    "mesh.bdFlag = setboundary3(node,elem,'Neumann');\n",
    "femMaxwell3(mesh,pde,option);"
   ]
  },
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   "source": [
    "## Conclusion \n",
    "\n",
    "The H(curl)-norm is still 1st order but the L2-norm is improved to 2nd order. \n",
    "\n",
    "MGCG using HX preconditioner converges uniformly in all cases."
   ]
  }
 ],
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